Title
A Fresh Look at the Kalman Filter
Abstract
AbstractIn this paper, we discuss the Kalman filter for state estimation in noisy linear discrete-timedynamical systems. We give an overview of its history, its mathematical and statisticalformulations, and its use in applications. We describe a novel derivation of the Kalman filterusing Newton's method for root finding. This approach is quite general as it can also be used toderive a number of variations of the Kalman filter, including recursive estimators for bothprediction and smoothing, estimators with fading memory, and the extended Kalman filter fornonlinear systems.
Year
DOI
Venue
2012
10.1137/100799666
Periodicals
Keywords
Field
DocType
Kalman filter,state estimation,control theory,systems theory,Newton's method
Mathematical optimization,Extended Kalman filter,Alpha beta filter,Fast Kalman filter,Control theory,Algorithm,Filtering problem,Kalman filter,Unscented transform,Invariant extended Kalman filter,Ensemble Kalman filter,Mathematics
Journal
Volume
Issue
ISSN
54
4
0036-1445
Citations 
PageRank 
References 
7
0.78
8
Authors
3
Name
Order
Citations
PageRank
Jeffrey Humpherys1309.59
Preston Redd270.78
Jeremy M. West381.49